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Error estimates for finite element method solution of the Stokes problem in the primitive variables. (English) Zbl 0423.65058

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
76D05 Navier-Stokes equations for incompressible viscous fluids
35Q30 Navier-Stokes equations
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[1] Brezzi, F.: On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multiplier. RAIRO, S?rie Analyse Num?rique, R.2. p. 129-151 (1974) · Zbl 0338.90047
[2] Brezzi, F., Raviart, P.A.: Mixed Finite Element Methods for the 4th order elliptic equations. Topics in Numerical Analysis III, (J.J.H. Miller, ed.) New York: Academic Press, (in press) · Zbl 0434.65085
[3] Hood, P., Taylor, G.: Navier-Stokes equation using mixed interpolation, Finite Element Method in flow problems, Oden Editor, UAH Press (1974)
[4] Huyakorn, P.S., Taylor, C., Lee, R.L., Gresho, P.M.: A comparison of various mixed-interpolation Finite elements for the Navier Stokes equation. Computer and Fluids,6, 25-35 (1978) · Zbl 0381.76024 · doi:10.1016/0045-7930(78)90004-X
[5] Jamet, Raviart, P.A.: Numerical Solution of the Stationary Navier-Stokes equation by Finite Element Method. Lecture notes in Computer Science, V. 10, Berlin-Heidelberg-New York: Springer, 193-223 (1974)
[6] Ladyzhenskaya, O.: The Mathematical Theory of Viscous Incompressible Flows. London: Gordon and Breach (1963) · Zbl 0121.42701
[7] Le Tallec, P.: Simulation Num?rique d’Ecoulements Visqueux. Th?se 3?me cycle, Paris 6, Juin 1978.
[8] Nickell, R.E., Tanner, R.I., Caswell, B.: The solution of viscous incompressible jet and free surface flow using Finite Element Method. J. Fluid. Mech.,65, 189-206 (1974) · Zbl 0298.76022 · doi:10.1017/S0022112074001339
[9] Raviart, P.A.: Finite Element Methods and Navier Stokes equations. University of Paris 6, LAN, International Report No 189 · Zbl 0403.76039
[10] Thomas, J.M.: (1977) Sur l’Analyse Num?rique des M?thodes d’El?ments Finis Hybrides et Mixtes. Doctoral Thesis, Paris 6
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